JEE Main & Advanced Mathematics Three Dimensional Geometry Question Bank Plane

  • question_answer
    The equation of the plane which is parallel to y-axis and cuts off intercepts of length 2 and 3 from x-axis and z-axis is                

    A)            \[3x+2z=1\]

    B)            \[3x+2z=6\]

    C)            \[2x+3z=6\]

    D)            \[3x+2z=0\]

    Correct Answer: B

    Solution :

                Equation of plane parallel to y-axis is, \[ax+bz+1=0\]            Also \[2a+1=0\,\,\Rightarrow \,\,a=-\frac{1}{2}\] and \[3b+1=0\,\,\Rightarrow \,\,b=-\frac{1}{3}\]            \[\therefore \,\,\,3x+2z=6\].                    Aliter : Equation of plane \[\frac{x}{2}+\frac{z}{3}=1\,\Rightarrow \,\,3x+2z=6\].

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